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A and B are symmetrical matrixes on R.

  1. Prove that A^3 and A are congruent
  2. prove that if A Invertible matrix then A^-1 and A are congruent

the 3th soppused to solve both of them but its not neccesary 3.A and B are symmetrical matrixes on R, |A| NOT EQUAL TO |B| then they are not congruent

ANY KIND OF HELP WILL BE VERY APPRICIATED, THANK YOUR ALL.

1 Answers 1

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Hint 1: What is the definition of congruent?

Hint 2: Do you know anything about the determinant of a product of matrices?

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    Haha hint ? I need an answer, i never learned determinants deeply to know that, or i just forgot. – 2017-01-06
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    Its nice to get hints instead of direct answer, upvoted:). – 2017-01-06
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    pls i need help :( – 2017-01-06